In web application development, it is often required to draw a pop-up window on top of a web page when the user clicks on an icon on the page that brings up the pop-up.
You are given a web page with width x and height y, a pop-up window with width l and height m, and an icon at distance a from the left of the page and distance b from the bottom of the page.
Your program should output the orientation in which the pop-up can be rendered fully, relative to the icon, within the page dimensions. The orientation of pop up should be such that it lies completely within the page.
There are 4 possible orientations: bottom-right, bottom-left, top-right and top-left, in the same order of preference. In other words, you should first attempt to render the pop-up bottom-right, and if that is not possible, try bottom-left, and so on.
Note: Icon location and pop-up size are such that the pop-up can always be fully rendered within the page.
Input:
First line contains an integer, T, denoting the number of test cases.
Next T lines contain six space separated integers each, x, y, l, m, a and b.
Output:
For each test case, print the orientation in which the pop-up can be rendered fully, relative to the icon, within the page dimensions.
Constraints:
1≤T≤105
1≤x≤3000
1≤y≤3000
1≤l≤x
1≤m≤y
0≤a≤x
0≤b≤y
There is always an orientation possible such that the pop-up will lie within the page.
4 1024 768 200 300 200 600 1024 768 200 300 1000 600 1024 768 200 300 200 200 1024 768 200 300 900 100
In the figure below the black dot is denoting the position of the icon.
